The problem here is a Joint Probability Distribution exercise. See the answers and explanation below.
What is Joint Probability Distribution?Joint Probability Distribution can be simply described as the likelihood of two events (variables) occurring at the same time.
These two events are commonly referred to as event A and event B, and their formal names are: p (A and B).
What is the solution to the questions?A - The likelihood that each line has exactly one customer: The probability relates to the associated row and column.
X₁ = 1 and X₂ = 1
P (X₁ = 1, X₂ =1) = 0.15
B - The sum of the diagonal elements of the joint pmf indicates the likelihood that the amount of clients in both lines is the same:
P(X₁ = X₂) =) p(0,0) + p (1,1) + p(2, 2) + p(3,3
= 0.08 + 0.15 + 0.10 + 0.07
= 0.4
Hence,
[tex]P(X_{1} = X_{2}) = 0.40[/tex]
C - Let A represent the situation in which there are at least two more clients than the other line: The following are examples of variable combinations:
X₂ =0 ; X₁ = 2,3, 4
X₂ =1 ; X₁ = 3, 4
X₂ =2 ; X₁ = 0, 4
X₂ =3 ; X₁ = 0, 1
The probability is thus computed as follows:
P (A) = p(1, 3) + p (2,2) + p(2, 3) + p(3,1) + p(3,2) + p(3,3) + p(4,0) + p(4,1) + p(4,2) + p(4,3)
= 0.04 + 0.10 +0.06 + 0.03 + 0.04+ 0.07 + 0.00 + 0.01 + 0.05 + 0.06
= 0.46
Hence [tex]P (A) = 0.46[/tex]
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The tenor voice part is usually notated in the _____ clef, but can also use the _____ clef. bass, tenor tenor, bass treble, bass bass, treble
The tenor voice part is usually notated in the bass clef, but can also use the treble clef.
What clef does tenor voice use?There are different kinds of clef. They use double-treble clef mostly in choir setting or on a base clef.
Note that The tenor voice part is usually notated in the bass clef, but can also use the treble clef.
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Select the correct answer. smith is pursuing a dental assistant certification program. which professional organization is he a part of? a. american association of family and consumer services b. national association for health professionals c. national board for professional teaching standards d. government finance officers association e. health occupations students of america
The nuclear equation shows the transmutation of a form of radon into polonium and an alpha particle
Answer:
Explanation:
The equation is balanced because the mass and charge are equal on both sides of the reaction equation.
In a nuclear reaction, one nucleus is transformed into another. In this case of the equation shown, the radon nucleus is being transformed into a polonium nucleus with the emission of an alpha particle.
The equation is balanced because a total mass of 219 is found on both sides of the reaction equation and a total charge of 86. Recall that an alpha particle is the same as a helium nucleus with a mass of four units and a charge of two units.
An electroscope is a device that detects charge on objects that touch it or are brought near it. john rubs a piece of cotton fabric on a plastic rod and then touches the rod to the electroscope. what methods of charging does john use? john charges the rod through induction, then charges the electroscope through friction. john charges the rod through conduction, then charges the electroscope through induction. john charges the rod through friction, then charges the electroscope through induction. john charges the rod through friction, then charges the electroscope through conduction
The same charges are produced on the plastic rod and cotton fabric as a result they repel each other.
What is an electroscope device?An electroscope is a scientific instrument that contains a small amount of an electrical charge on a person's body. The first electroscope with a pivoting needle is termed sensorium. The Coulomb electrostatic energy, which produces the movement of the test charge, is used by the electroscope to determine the charge.
They will oppose one another because when the plastic rod and the cotton fabric are rubbed together, they receive the same charges, and similar charges repel each other. The straws will reject each other as a consequence.
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Answer:
d. or 4
John charges the rod through friction, then charges the electroscope through conduction.
Explanation:
edge 2023
What is the main purpose of sustainable agriculture?
Blue collar workers typically receive __________ wages. a. commissioned b. hourly c. part-time d. salaried please select the best answer from the choices provided a b c d
The way blue collar workers typically receive their wages is; B: Hourly
How to Identify types of wages?
There are different ways of paying wages to workers. Wages is the renumeration due to a worker for a job done.
Now, the wages could be paid hourly, daily, weekly, monthly or any other agreed periods.
However, while white collar workers are usually paid monthly, blue collar workers are usually paid hourly.
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Answer: B. Hourly
Explanation: Blue collar workers typically receive hourly wages.
How do the children's interactions with the man in the well reveal the theme of the text
Answer:
How do the children's interactions with the man in the well reveal the theme of the text
Which phrase from the passage best supports the theme that humans possess the ability to be monstrous
How does this example of dramatic irony affect the audience? it makes brutus appear heartless and cruel because he want mark antony killed. it heightens suspense because they underestimate mark antony who is dangerous. it makes mark antony look like he is a part of the conspiracy. it makes it look like mark antony wants caesar dead so he can become king.
The example of dramatic irony affect the audience is that It heightens suspense because they underestimate Mark Antony who is dangerous.
What is an irony?The definition of irony is known to be a term that make use of words where the meaning is said to be in opposition to their real meaning or what is is seen to occur.
Therefore, The example of dramatic irony affect the audience is that It heightens suspense because they underestimate Mark Antony who is dangerous.
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Answer:
b
Explanation:
yes
What is the exact value of cosine (startfraction 11 pi over 12 endfraction)? negative startfraction startstartroot 2 + startroot 3 endroot endendroot over 2 endfraction negative startfraction startstartroot 2 minus startroot 3 endroot endendroot over 2 endfraction startfraction startstartroot 2 minus startroot 3 endroot endendroot over 2 endfraction startfraction startstartroot 2 + startroot 3 endroot endendroot over 2 endfraction
The exact value of the cosine of 11π / 12 will be given as negatice (1 + √3)/(2√2).
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The trigonometric expression is given below.
⇒ cos (11π/12)
We know that 11π/12 is equal to 165 degrees. Then we have
cos 165° = cos (45° + 120°)
We know that
cos (A + B) = cos A cos B - sin A sin B
Then we have
cos (45° + 120°) = cos 45° cos 120° - sin 45° sin 120°
cos (45° + 120°) = 1/√2 x (- 1/2) - 1/√2 x √3/2
cos (45° + 120°) = - (1 + √3)/(2√2)
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Answer:
A
Explanation:
If a sample size is 20, which can be used to test a hypothesis about the mean?
Answer:
What is the degrees of freedom when the sample size is 20?
19
For example, if we have a sample of size n = 20 items, then we calculate the degrees of freedom as df = n – 1 = 20 – 1 = 19 and we write the distribution as T ~ t19.
Explanation:
The degrees of freedom can be used to test a hypothesis about the mean.
What is degrees of freedom?Degrees of freedom refers to the maximum number of logically independent values that have the freedom to vary, in the data sample.
Given, the sample size is 20, then degree of freedom will be
The degrees of freedom represented as
dof = n – 1
dof = 20 – 1
dof = 19
Thus, the degrees of freedom can be used to test a hypothesis about the mean.
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Choose all the responses that describe events leading to the korean war
Events leading to the Korean war are; Japan lost control of Korea following World War ll and China gained control of Korea following World War ll.
What were the events associated with the Korean war?The Korean War was a war fought between North Korea and South Korea from the year 1950 to 1953.
This Korean war began on 25 June 1950 when North Korea invaded South Korea following clashes along the border and rebellions in South Korea.
The correct events that describe events that lead to the war are;
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A result of the los angeles riots was that brainly
Answer:
A result of the Los Angeles riots was that many people were injured or killed. the local government was shut down temporarily.
Explanation:
Answer: Just A. many people were injured or killed.
Explanation:
side from necessities, what one thing could you not go a day without?
Answer:
a daily thank you to the
god / nature / universe / supreme power
whatever name we call it,
for good physical health
& the freedom of choice
Explanation:
Because whitney felt she had only a grasp on the material presented in class, she decided to go to the teacher for additional help. dentists fill any within teeth with composite resin or porcelain; in layman's terms, these holes are called cavities. the teacher their study of plants with a research project on any plant-related topic the students chose. your feelings of toward margaret are getting in the way of what could be a great friendship.
The correct options from each drop-down menu are tenuous, cleavage, consummated, enmity respectively.
What is tenuous?Tenuous comes from the Latin word tenuis, which means so weak or uncertain that it hardly exists.
Because Whitney left she had only a tenuous grasp on the material presented in class, she decided to go to the teacher for additional help.
Dentists fill any cleavage within teeth with composite resin or porcelain; in layman's terms, these holes are called cavities.
The teacher consummated their study of plants with a research project on any plant-related topic the students chose.
Your feelings of enmity toward Margaret are getting in the way of what could be a great friendship.
Thus, the above options give the correct meaning to the sentence.
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Examine the nuclear reaction: superscript 1 subscript 1 h plus superscript 1 subscript 0 n right arrow superscript 2 subscript 1 h.. why is this classified as a nuclear reaction rather than a chemical reaction? it is not balanced. a new compound is formed. a change has occurred in a nucleus. a new element has been formed.
Since the reaction is not given, answer will be subjective. It is a nuclear reaction rather than a chemical reaction as a change has occurred in a nucleus.
What is nuclear reaction?Nuclear reaction is a term that connote the change in the state or characteristics of any kind of atomic nucleus that has been pressed or induce through bombardment with energetic particle.
Therefore, It is a nuclear reaction rather than a chemical reaction as a change has occurred in a nucleus.
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Answer:c
Explanation:
In a certain pentagon, the interior angles are $a^\circ,$ $b^\circ,$ $c^\circ,$ $d^\circ,$ and $e^\circ,$ where $a,b,c,d,e$ are integers strictly less than $180$. ("strictly less than $180$" means they are "less than and not equal to" $180$.) if the median of the interior angles is $61^\circ$ and there is only one mode, then what are the degree measures of all five angles?
The degree measures of all of these angles are 60, 61, 61, 179, 179.
How to solve for the angle measuresGiven that the 3rd largest angle that we have here is 61 degrees, the three angles are not going to be more than 183.
The sum of all the angles must be 540 degrees. The total of the largest of the numbers is less that 179 x 2 = 358 degrees.
The sum of the smallest three would be
540 - 358 = 182 degrees
Therefore the possible sets of these angles would be 60, 61, 61, 179, 179 degrees
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Answer:
61, 61, 61, 178, 179
Explanation:
The five interior angles of any pentagon add up to 3*180= 540
If the median is 61, then we know the three smallest angles are each no more than 61, and so they add up to at most 3*61= 183 degrees. This means the two largest angles must add up to at least 540-183= 357 degrees. Since 178+179=357, and since the angles are all integers strictly less than 180, the only possibilities for the two largest angles are 178, 179 or 179, 179.
We consider these possibilities one at a time.
If the two largest angles are 178 and 179, then the three smallest angles add up to exactly 183, so they must each be exactly 61. Thus, one set of angles that satisfy the conditions in the problem is 61, 61, 61, 178, 179.
If the two largest angles are 179 and 179, then the three smallest angles add up to 182. The only way this can happen is for one of them to be 60 and the other two to be 61, but in this case, the set of angles would have more than one mode. So we can rule out this answer.
In conclusion, the five angles must be 61, 61, 61, 178, 179.
In some regions of africa, 25% of the adults became infected with hiv. please select the best answer from the choices provided t f
In some regions of Africa, 25% of the adults became infected with HIV this is true.
Which place has the very best percentage of HIV?Affected Areas. Sub-Saharan Africa,10 with greater than two-thirds of everybody dwelling with HIV globally, is the toughest hit place withinside the world, accompanied by the aid of using Asia and the Pacific (see Table 1). The Caribbean in addition to Eastern Europe and Central Asia also are closely affected.
Africa is one of the toughest hit regions of the AIDS/HIV epidemic. It IS the toughest hit for toddler instances of HIV every year. I honestly desire that is right. I'm sorry if it is not however I did my exceptional to analyze at the problem and offer a first rate.
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You are making a program for a bus service. a bus can transport 50 passengers at once. given the number of passengers waiting in the bus station as input, you need to calculate and output how many empty seats the last bus will have.
The program to a person will need to calculate and output the amount of empty seats the last bus will have is written below
What is the program about?The program to use in the bus service calculation is:
#include <iostream>
using namespace std;
int main()
{
int passengers;
cout << "";
cin >> passengers ;
int left_passengers= passengers % 50;
if(left_passengers == 0){
cout << "0 seats left";
}
else{
int left_seats= 50 - left_passengers;
cout << left_seats;
cout << "";
}
return 0;
}
One can also write the code as:
#include <iostream>
using namespace std;
int main()
{
int pass, empty_seats;
cin>>pass;
pass=pass%50;
empty_seats=50-pass;
cout<<empty_seats;
return 0;
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Listen to the audio, read the question, and choose the option with the correct answer to the question. based on the audio, what is not true about the animal in the audio? it is valued for its meat. it lives in jungles and forests. it looks similar to a pig. it migrates in spring.
Answer:
It migrates in spring
Explanation: I took the test and got it correct
Answer:
migrates in the spring
Explanation:
got it right on the test
You want to purchase vegetable dip for a party. a grocery store sells seven different flavors of vegetable dip. you have enough money to purchase two flavors. how many combinations of two flavors of vegetable dip are possible?
Answer:
21
Explanation:
We need to use combinatiın formula:
C(7,2) -> Because there are seven flavors and we want two of them
C(7,2)= 21
Choose all that apply. select all the strategies you can use to manage risks. have a warranty carry lots of cash have an emergency fund provide your personal information to others buy health insurance become informed
Financial risk is the chance that one can lose the money invested or to fraud. To manage risk one can buy health insurance, deposit an emergency fund, have a warranty, and should be informed.
What is managing risks?Risk management is the identification and prioritization of the risks so that the impact of the financial or health loss can be avoided or minimized. In case of some serious disease health insurance provides financial protection.
The collection of emergency funds will help in sudden need, being informed will help to avoid fraud situations, and getting a warranty card ensures the protection of the purchased product.
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What is the relationship among evolutionary mechanisms and genetic diversity
Answer:
The effect of the evolutionary driving forces on genetic diversity and evolution depends on the amount of genetic variations that already exist in a population. The amount of genetic variation within a given population remains constant in the absence of selection, mutation, migration, and genetic drift [23].
Answer:
Evolution and diversity result from the interactions between organisms and their environments and the consequences of these interactions over long periods of time.
Explanation:
Which two events would most likely occur in the rising action of a story?
Answer: Internal or external conflict
The speaker begins the poem by stating "i come back to your youth, my nana" (line 1), but the primary transformation sought overall is
The speaker which begins the poem has the primary transformation sought overall is recapturing of a sense of life's possibilities.
What is primary transformation?
The transformation in the poem means the transformation of the poet into the most authentic self. Primary transformation tells the meaning of the line of poem which the poet has written in the self authentic manner.
The speaker begins the poem by stating ,
"i come back to your youth, my nana"
Here, the primary transformation sought overall is recapturing of a sense of life's possibilities.
The speaker which begins the poem has the primary transformation sought overall is recapturing of a sense of life's possibilities.
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Enter the correct 4 digit code (no spaces)
Answer:
a 5
b 9
c 3
d 4
Explanation:
if you were to substitute in these numbers it would be valid.
3+2=5
1+3=4
mabe 4+5 =9
10-3 skills practice operations with radical expressions
An example of 10-3 skills practice operations with radical expressions is simply the expression of 7[tex]\sqrt[]{7} + 2 \sqrt[]{7}[/tex]
What are radical expressions?A radical expression is known to be any expression that has a a radical (√) symbol.
Note that the expression of 7[tex]\sqrt[]{7} + 2 \sqrt[]{7}[/tex]
Therefore to get the simplified form , we have to add the the whole numbers
= 7 + 2
= 9
Therefore since the radical is the same, we let it be.
So therefore, the answer will be 9[tex]\sqrt[]{7}[/tex]
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Describe how another political institution can influence the advancement of the federal legislation in the scenario.
Explanation:
The government can build up a policy, if they need help in the society...The federal legislation in the scenario can be influenced by the political institutions
Which part of a presentation about bullying does this slide illustrate? it presents an overview of the problem. it shows a negative effect of the problem. it presents a solution. it show a positive effect.
Answer:
B
Explanation:
I just got it right on the assignment :)
What type of triangle is created by the three cities? an acute triangle, because 222 + 542 >512 an acute triangle, because 222 + 512 >542 an obtuse triangle, because 222 + 542 >512 an obtuse triangle, because 222 + 512 >542
The type of triangle that is created by the three cities is known to be an an acute triangle, because 22² + 51² >54².
What tells an acute triangle?An acute triangle is known to be called an acute-angled triangle because the triangle is made up of three acute angles, that tends to measure less than 90°.
Therefore, The type of triangle that is created by the three cities is known to be an an acute triangle, because 22² + 51² >54² as it measure less than 90°.
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Answer:
B
Explanation:
